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the generic case ’, Contemp
- Publisher
- Wiley
- Copyright
- © London Mathematical Society
- ISSN
- 0024-6093
- eISSN
- 1469-2120
- DOI
- 10.1112/S0024609396002135
- Publisher site
- See Article on Publisher Site
Abstract
Let G be a finite group acting faithfully and transitively on a set Ω of size m, and let E = {x1, …, xk} be a generating set for G with x1x2…xk = 1. If x ∈ G has cycles of length r1, …, rl in its action on Ω, define ind(x)=∑1l(ri−1). Then the genus g = g(G, Ω, E) is defined by 2(m+g−1)=∑1kind(xi), 1991 Mathematics Subject Classification 20B25, 20G40, 30F99.
Journal
Bulletin of the London Mathematical Society – Wiley
Published: Mar 1, 1997